Computation of 3-D current driven eddy current problems using cutting surfaces

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作者
Lab d'Electrotechnique de Grenoble, Saint Martin d'Heres, France [1 ]
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来源
IEEE Trans Magn | / 2 pt 2卷 / 1314-1317期
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Convergence of numerical methods - Current density - Eddy currents - Electric coils - Electric current distribution - Finite element method - Magnetic cores - Magnetic permeability - Vectors;
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摘要
Since the traditional formulation in terms of a current vector potential T and a magnetic scalar potential ψ enforces zero net current in conductors, they cannot be used to solve current driven eddy current problems. For this reason, an alternative using T-T0-ψ formulation where T0 described an arbitrary current distribution with the given net current in conductors has been proposed some years ago. In this paper, an alternative finite element T-Hjφ formulation using cutting surfaces is proposed. A cutting surface describing the given net current in the conductor is introduced in the nonconducting multi-connected region in order to allow a discontinuity of the scalar potential. This method also avoids cancellation errors in permeable regions and ensures a good numerical stability of the finite element scheme. The present method is validated with a 3-D current driven eddy current problem. Results are compared to T-T0-ψ formulation computation.
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